Accessing different regimes by tuning the hopping phase of a weakly connected Bose–Einstein condensate within a two-mode model

We investigate the access of Josephson and Self-Trapping dynamical regimes on Bose–Einstein condensates confined by a rotating multiwell trap. Manipulation of the rotation allows us to tune the hopping phase among neighboring sites within a two-mode model and permits us to demonstrate that it is possible to dynamically connect qualitatively different regimes. For a sudden increase of the rotation frequency, we find that it is possible to reach both Josephson and Self-Trapping regimes starting from a broad range of initial states. Conversely, slow changes in the rotation frequency restrict this possibility to initial states very close to the Josephson–Self-Trapping regime separatrix. These findings are corroborated by numerical simulations of the three-dimensional Gross–Pitaevskii equation. Graphical abstract